Functional Quantization Without Hilbert
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2025
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| _version_ | 1866902165639921664 |
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| author | LE NEPVOU, Alexandre |
| author_facet | LE NEPVOU, Alexandre |
| contents | <blockquote> <p>This article presents a path-integral quantization framework for symmetric tensor fields without invoking Hilbert space formalism. The field is defined over a smooth, non-metric temporal base, and its dynamics are derived from a variational action involving no background geometry. Stationary configurations define dynamically stabilized regimes from which geometric structures such as an emergent metric and stress-energy tensor can be projected. A co-tension tensor is introduced to quantify the structural mismatch between geometry and energy. This framework provides a background-independent method for exploring the emergence of classical spacetime from a quantum field substrate.</p> </blockquote> <h4> </h4> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15567556 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Functional Quantization Without Hilbert LE NEPVOU, Alexandre Pre-Metric Field Theory Functional Quantization Path Integral Symmetric Tensor Field Emergent Geometry Hilbert Space Elimination Co-Tension Tensor Emergent Stress-Energy Quantum Gravity Foundations Projection Formalism <blockquote> <p>This article presents a path-integral quantization framework for symmetric tensor fields without invoking Hilbert space formalism. The field is defined over a smooth, non-metric temporal base, and its dynamics are derived from a variational action involving no background geometry. Stationary configurations define dynamically stabilized regimes from which geometric structures such as an emergent metric and stress-energy tensor can be projected. A co-tension tensor is introduced to quantify the structural mismatch between geometry and energy. This framework provides a background-independent method for exploring the emergence of classical spacetime from a quantum field substrate.</p> </blockquote> <h4> </h4> |
| title | Functional Quantization Without Hilbert |
| topic | Pre-Metric Field Theory Functional Quantization Path Integral Symmetric Tensor Field Emergent Geometry Hilbert Space Elimination Co-Tension Tensor Emergent Stress-Energy Quantum Gravity Foundations Projection Formalism |
| url | https://doi.org/10.5281/zenodo.15567556 |